Hydrodynamics of Monolayer Domains at the Air-Water Interface

Details Hydrodynamics of Monolayer Domains at the Air-Water Interface Hydrodynamics of Monolayer Domains at the Air-Water Interface

1996-02-13

arxiv.org/abs/patt-sol/9602002v1

Nonlinear Sciences

Pattern Formation and Solitons

12 pages, RevTeX, 4 ps figures, accepted in Physics of Fluids A

Scientific paper

10.1063/1.868893

Molecules at the air-water interface often form inhomogeneous layers in which domains of different densities are separated by sharp interfaces. Complex interfacial pattern formation may occur through the competition of short- and long-range forces acting within the monolayer. The overdamped hydrodynamics of such interfacial motion is treated here in a general manner that accounts for dissipation both within the monolayer and in the subfluid. Previous results on the linear stability of interfaces are recovered and extended, and a formulation applicable to the nonlinear regime is developed. A simplified dynamical law valid when dissipation in the monolayer itself is negligible is also proposed. Throughout the analysis, special attention is paid to the dependence of the dynamical behavior on a characteristic length scale set by the ratio of the viscosities in the monolayer and in the subphase.

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